Research Group: Numerical Mathematics and Scientific Computing
Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
Tel: +49(0) 30 20372 446
Fax: +49(0) 30 2044975
I'm a scientific staff member of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in the research group of Numerical Mathematics and Scientific Computing.
I work in the field of automatic mesh generation, which is a topic about how to partition a geometric domain into a set of simple (non-overlapping) cells. It has wide variety of applications: mathematical modeling, computer-aided design, visualizations, and so on. It combines different topics from mathematics, computer science, and engineering. It principally requires the studies of discretizing a continuous space in both of its topology and geometry. My primary investigations are the existence and the complexity of such a discretization. Many questions of this study stem from problems in discrete and combinatorial geometry.
Three papers will be appear in the journal Computer-Aided Design.
Our paper On tetrahedralisations containing knotted and linked line segments was presented in 26th International Meshing Rountable in September 18--21, 2017, Barcelona.
Here is one of my talks on "3d irreducible and indecomposable polyhedra and
the number of interior Steiner points", given
in the NUMGRID 2016
conference, Oct. 31 - Nov. 2, 2016 in Moscow, Russia.
For details of my current research, please take a look at the list of my publications.
I'm developing a software, TetGen, which is used to implement
state-of-the-art methods and algorithms for constructing Delaunay
tetrahedralizations and quality tetrahedral meshes. It is one of the
best ways to connect "methods" and "results". On the other hand, to
provide a robust and efficient meshing tool for solving practical
problems in engineering is also very meaningful.
Here is an example of 3d mesh generated by TetGen.
I'm the co-orginizer of the International Symposium on Isogeometric Analysis and Mesh Generation (IGA&Mesh) 2018, August 3-5, 2018, Dalian China.
I'm the co-orginizer of the 9th International Conference Numerical Geometry, Grid Generation and Scientific Computing (NUMGRID 2018), December 3-5, 2018, Moskow Russia. It is also the special event for CELEBRATING THE 150TH ANNIVERSARY OF G. F. VORONOI.
I will continue a course on "Mesh Generation Methods and Softwares" in the
Summer School of Beihang University (Beijing University of Aeronautics and Astronautics), from July 9 to August 3,
2018, in Beijing.
This course is suitable for senior and graduate
students in engineering, computer science, and applied mathematics.
The webiste of the course is at here
A program, called Detri2, is specially developed for teaching and learning together with this course.